Find two mixed numbers or fractions that have a quotient of 3 1/5.
2 answers:
Answer:
The two fractions could be and
.
Step-by-step explanation:
The fractions given and required are called equivalent fractions.
Given , and we can express it as
when converted to an improper fraction.
i.e =
The two mixed numbers that would have a quotient of can be determined by multiplying both the denominator and numerator by the same number.
If we multiply the numerator and denominator of by 2, we have
which has the same quotient as the initial fraction.
Also, multiplying the numerator and denominator of by 3 would give
; which has the same quotient as the given fraction.
The required fractions are: and
.
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Answer: Option D.
Step-by-step explanation:
You can calculate the surface area of this right prism by adding the area of its faces.
You can observe that the faces of the right prism are: Three different rectangles and two equal triangles.
The formula for calculate the area of a rectangle is:
Where "l" is the lenght and "w" is the width.
The formula for calculate the area of a triangle is:
Where "b" is the base and "h" is the height.
You can observe that the hypotenuse of the each triangle is the width of one of the larger rectangle, then , you can find its value with the Pythagorean Theorem:
Where "a" is the hypotenuse and "b" and "c" are the legs of the triangle.
Then, this is:
Therefore, you can add the areas of the faces to find the surface area of the right prism (Since the triangles are equal, you can multiply the area of one of them by 2). This is: